Necessary and sufficient conditions for frequency-based Kelly optimal portfolio

CH Hsieh - IEEE Control Systems Letters, 2020 - ieeexplore.ieee.org
In this letter, we consider a discrete-time portfolio with m≥ 2 assets optimization problem
which includes the rebalancing frequency as an additional parameter in the maximization …

Informative index for investment based on Kelly criterion

ME Wu, JH Syu, G Srivastava… - Enterprise Information …, 2022 - Taylor & Francis
When it comes to asset allocation and portfolio management, Kelly criterion is a
mathematical formula used to optimise expected log-returns over the long term …

Rebalancing frequency considerations for Kelly-optimal stock portfolios in a control-theoretic framework

CH Hsieh, JA Gubner… - 2018 IEEE Conference on …, 2018 - ieeexplore.ieee.org
In this paper, motivated by the celebrated work of Kelly, we consider the problem of portfolio
weight selection to maximize expected logarithmic growth of a trader's account. Going …

The impact of execution delay on kelly-based stock trading: High-frequency versus buy and hold

CH Hsieh, BR Barmish… - 2019 IEEE 58th …, 2019 - ieeexplore.ieee.org
Stock trading based on Kelly's celebrated Expected Logarithmic Growth (ELG) criterion, a
well-known prescription for optimal resource allocation, has received considerable attention …

On risk reduction in kelly betting using the conservative expected value

N Rujeerapaiboon, BR Barmish… - 2018 IEEE conference …, 2018 - ieeexplore.ieee.org
The celebrated Kelly betting strategy guarantees, with probability one, higher long-run
logarithmic growth than any other causal investment strategy. However, on the way to its …

On positive solutions of a delay equation arising when trading in financial markets

CH Hsieh, BR Barmish… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
We consider a discrete-time linear state equation with delay, which arises as a model for a
trader's account value when buying and selling a risky asset in a financial market. The state …

A generalization of the classical kelly betting formula to the case of temporal correlation

JD O'Brien, K Burke, ME Burke… - IEEE Control Systems …, 2020 - ieeexplore.ieee.org
For sequential betting games, Kelly's theory, aimed at maximization of the logarithmic growth
of one's account value, involves optimization of the so-called betting fraction K. In this letter …

On robust optimal linear feedback stock trading

CH Hsieh - arXiv preprint arXiv:2202.02300, 2022 - arxiv.org
The take-off point for this paper is the Simultaneous Long-Short (SLS) control class, which is
known to guarantee the so-called robust positive expectation (RPE) property. That is, the …

Determination of profit quantification on kelly betting based on relative entropy

ME Wu, CJ Lee, WH Chung… - Quality Technology & …, 2021 - Taylor & Francis
ABSTRACT In 1956, John Kelly formulated an optimal strategy, the so-called 'Kelly criterion',
for bidding at each step of a favorable game when the odds and probability of winning are …

On Feedback Control in Kelly Betting: An Approximation Approach

CH Hsieh - 2020 IEEE Conference on Control Technology and …, 2020 - ieeexplore.ieee.org
In this paper, we consider a simple discrete-time optimal betting problem using the
celebrated Kelly criterion, which calls for maximization of the expected logarithmic growth of …